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Finding the Fourth Proportional to 15,657.15, 23,459.31 and 7,749.12

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Solution

The fourth proportional to 15,657.15, 23,459.31 and 7,749.12 is: 11,610.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,657.15 : 23,459.31 = 7,749.12 : x
  2. Step 2: Convert to fraction form
    15,657.15/23,459.31 = 7,749.12/x
  3. Step 3: Cross multiply
    15,657.15x = 23,459.31 × 7,749.12
  4. Step 4: Simplify right side
    15,657.15x = 181,789,008.31
  5. Step 5: Solve for x
    x = 181,789,008.31/15,657.15
  6. Step 6: Final answer
    x = 11,610.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.